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begingroup Assuming we re talking F in ANOVA it depends on how the numerator and denominator are calculated not every calculation is 100 guaranteed to yield a non negative value for a notionally non negative quantity endgroup If the calculated is less the tabulated at the given alpha value you accept the null hypothesis otherwise you reject So you have the liberty of either using the F value or the p value But if you are doing you calculation manually using F value is more simpler if you are using a software then p value is simpler
F Value In Anova
F Value In Anova
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As a consequence the expected value of the F ratio when the null hypothesis is true is also close to one actually it s not exactly one because of the properties of expected values of ratios When the null hypothesis is false and there are group differences between the means the expected value of the numerator will be larger than the So in short Reject the null when your p value is smaller than your alpha level You should also reject the null if your critical f value is smaller than your F Value you should also reject the null hypothesis The F value should always be used along with the p value in deciding whether your results are significant enough to reject the null hypothesis
I m trying to compute ANOVA effect sizes from papers that provide an F value without other information If I understand correctly the effect size for a single factor ANOVA is eta 2 frac ss between ss between ss error But the largest distance between the outside groups is the same That means the smallest p value in Tukey HSD test will not be different for those two cases while the ANOVA p value does differ So for the experiments with the 5 largest significant differences you do not get the 5 largest F scores or vice versa
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I ve read that it shouldn t be possible to get a F value equal to zero but my result of a mixed ANOVA was F 1 200 000 p 955 observed power 050 Box and Levene are not significan Gung is absolutely correct here without at least one additional data value there is no information about variability in the saturated model The impression of an interaction can always be created in this situation simply by sorting the columns and rows appropriately that makes such an impression merely an artifact of how one has presented
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Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers
https://stats.stackexchange.com/questions/96483
begingroup Assuming we re talking F in ANOVA it depends on how the numerator and denominator are calculated not every calculation is 100 guaranteed to yield a non negative value for a notionally non negative quantity endgroup
Solved Anova Table Help F Values 5 Table I Shows The ANO Chegg
Solved Anova Table Help F Values 5 Table I Shows The ANO Chegg
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F Value In Anova - But the largest distance between the outside groups is the same That means the smallest p value in Tukey HSD test will not be different for those two cases while the ANOVA p value does differ So for the experiments with the 5 largest significant differences you do not get the 5 largest F scores or vice versa
